Big Tone wrote:
Sorry for being a doubting Thomas, although you have given me hope that I haven’t gone completely mad yet Mole.
If we are talking about going in a straight line, then surely if the rear wheels are slowed or locked, (basically any braking force from the back), then the car isn’t going to veer off course - but that can’t be said of the front.
When slowed, yes, the car stays in a straight line. This is because the rear tyres still have some grip. When locked, they loose grip - and they can't loose it fore and aft but retain it side-to-side - they are either gripping or they're not!
Big Tone wrote:
This is why I use the analogy of pushing a pencil, the equivilent of a large 'finger' pushing the front of the car. If I draw a straight line on a table and align the pencil with it and push with my finger without trying to correct the direction, (finger rigidly following the line just as front braking would in effect), it would try to veer off.
OK, why would it veer off? If the table is flat and level, the surface has uniform grip and your finger really is pushing in a straight line...?
I think the answer is that the table is not infinitely flat and level and your finger can't push in a straight line. The pencil is inherently unstable - bit like trying to balance it on it's point vertically on your finger. In theory, if you kept your finger still, it would stay there. In practice, it falls off.
In both cases, the most absolutely minute external force is enough to start a change of direction, and once it starts going out of "true", you get a very rapidly increasing torque trying to turn it more so. Assume the whole side of the pencil is uniformly in contact with the table. The resistive force against which you're pushing acts through it's centre of gravity - which will be (discounting the pointy bit!) half way along its length. Assume that your finger is acting straight and true - in a manner it could never hope to do in real life. Something (a microscopic lump on the table, a bit of grease or polish on its surface, etc) causes the pencil to deflect sideways by a minute amount. In so doing, it's centre of gravity isn't exactly in line with the force your finger is exerting any more. As the pencil goes further out of line, that distance between the direction of the force your finger is exerting and the line paralell to it passing through the centre of gravity of the pencil gets bigger, so the effect becomes more pronounced. It VERY quickly runs away in a "vicious circle" and the pencil spins. It IS possible to keep it going in a straight line by constantly correcting the direction in which you're pushing (like a space rocket getting pushed by its motors).
Big Tone wrote:
That would be the same reaction as the front wheels on a car trying to decelerate as tyre differences and road irregularities etc. give the left or right an advantage which will start to turn the car, would it not?
Yes!
Big Tone wrote:
Similarly, if the pencil was moving with a little engine of its own and you grabbed the rear of it, the equivalent of braking or locking the rear wheels, the pencil would simply come to a stop in a straight line. (Hec I've done it in cars often enough so I know that's correct, I think, I hope

).
OK, we assume that te pencil is "front wheel drive"? It's engine is pulling it along and you apply a retarding force to the back. Yes, it will stop in a straight line, but that's because you're anchored to the ground independently of the pencil. OK, so let's put the front of the pencil on wheels and the back of it dragging along the desk to simulate your retarding force. If both front wheels pull EXACTLY together and evenly AND if the surface of the desk doesn't change (or the surface of the pencil in contact with it), I'd expect it to go in a straight line (as you have managed to do in a car). After all, the rear wheels don't have NO grip, just "reduced" grip. If you keep accelerating, I think there's every chance the car WILL move in a straight line (all other conditions being equal). It's being pulled from the front hard enough for the resistance provided by the car's inertia acting through it's centre of gravity, somewhere behind the front wheels, to keep the two forces more or less one behind the other. As soon as you start to lift off though (or worse, decelerate), or EVEN worse, brake, the situation is reversed and it ends up working like your pencil getting pushed from behind.
Big Tone wrote:
Have the laws of physics changed. I know I stand to lose face here but I’m just trying to understand.
No they haven't. But one of the brilliant things about vehicle dynamics is that it's all dictated by a relativley few simple laws, several hundred years old, and yet as soon as you combine more than about two or three factors, it blossoms into staggeringly complext problems that sometimes even quite powerful computers struggle with!
Infamy infamy! You’ve all got it infamy.

[/quote]